A triangle has side lengths of 6, 8, and 10. Is it a right triangle? Explain.

Answers

Answer 1

Answer:

A right triangle follows Pythagoras theorem.

So let's see if the following triangle do so.

(hypotenuse)² = (base)² + (altitude)²

10² = 6² + 8²

100 = 36 + 64

100 = 100

The given triangle follows the Pythagoras theorem.

So, the triangle is a right triangle.


Related Questions

Expand logarithm equations

Answers

Answer:

[tex] log_{2}(x) + log_{2}(y) + log_{2}(z)[/tex]

Step-by-step explanation:

[tex]5 log_{2}(xyz)^{ \frac{1}{5} } \\ \\ = 5 \times \frac{1}{5} log_{2}(xyz) \\ \\ = log_{2}(xyz) \\ \\ = log_{2}(x) + log_{2}(y) + log_{2}(z)[/tex]


Solve for x
x = 5
x = 18
x= 30°
x = 36

Answers

Answer:

x=36

Step-by-step explanation:

5x=180

x=180/5=36

Answer:x=36

Step-by-step explanation:

Took the test and got it right!

BRAINLIST IF YOU ANSWER THIS RIGHT THE FIRST PERSON TO GET IT RIGHT GETS IT



A rectangle has an area of 471.75 square yards and a base of 18.5 yards. What is the height in yards?

Answers

Answer:

25.5

Step-by-step explanation:

Hope this helps!

Answer:

The height would be  25.5 or 25 1/2

Step-by-step explanation:

You use the area of the triangle, in this case 471.75 and divide it by 18.5 and you get 25 1/2.

Find the value of the expression 2x3 + 3y2 − 17 when x = 3 and y = 4.

Answers

Answer:

85

Step-by-step explanation:

Substitute x = 3 and y = 4 into the expression

2(3)³ + 3(4)² - 17

= 2(27) + 3(16) - 17

= 54 + 48 - 17

= 102 - 17

= 85

What is the length of the missing leg

Answers

Answer:

[tex]42[/tex]

Step-by-step explanation:

Remember, [tex]a^{2} + b^{2} =c^{2}[/tex]

This time, it's [tex]56^{2}+b^{2}=70^{2}[/tex]

[tex]70^2-56^2[/tex]=[tex]1764, sq rt[/tex] of [tex]1764=42[/tex]

Answer:

I think it's 42

Step-by-step explanation:

Find the measure of the indicated arc

Answers

Answer:

arc LMN = 210°

Step-by-step explanation:

The inscribed angle LQN is hal the measure of its intercepted arc, that is

arc LMN = 2 × 105° = 210°

What is the slope of the line containing (4, 7) and (1, 10)

Answers

Answer:

[tex] \frac{10 - 7}{1 - 4} = \frac{3}{ - 3} = - 1[/tex]

Please help me i need to turn this in

Answers

Answer:

(I dont know which way your supposed to do it)

+4 +4

3x = 18

÷3 ÷3

X = 6

Tess took a total of 36 quizzes over the course of 4 weeks. After attending 10 weeks of school this quarter, how many quizzes will Tess have taken if this rate stays constant?

Answers

Answer:

90 Test

Step-by-step explanation:

so if you do 36/4 that means 9 if the rate is constant then you do 9 x 10 = 90

Hoped this helped

PLEASE HELPPPPPPPPPPPPPPPPPPPP ME HAS CONFUSION

Answers

Answer:

W = 76m

L = 83

Step-by-step explanation:

Teniendo en cuenta que tg 45°=1, deduce el valor de sen 45° y de cos 45° mediante las relaciones fundamentales.

Answers

Answer:

the value is 0.707

Step-by-step explanation:

The computation is shown below:

Tan (x) = sen (x) ÷ cos (x)

Tan 45° = sen 45° ÷ cos 45° = 1

Now

Sen^2 (x) + cos^2 (x) = 1

Sen^2 (x) + sin^2 (x) = 1 (As sen (x) = u)

2u^2 = 1

u = √1 ÷ √2

= √2 ÷ 2

= 0.707

Hence, the value is 0.707

x - 3y=-12
-9x - y = 24
Solve plzzz

Answers

Answer:

y = -9x - 24

x = -27x - 84

Step-by-step explanation:

The angle of depression of a boy from a top of a vertical Cliff 120 high is 22.7 . Find the distance of the boy from the base of the Cliff​

Answers

Answer:

wowwowowowowowowwowowowwowowow

This recipe makes 5 portions of porridge. Complete the amount of each ingredient that is needed to make just 2 portions. Recipe: Serves 5 200 g oats 1.2 L milk 60 g sugar

Answers

Answer:

For 2 portions, our Ingredients include

80g of oats, 0.48L of milk and 24g of sugar

Step-by-step explanation:

For 5 portions of ingredients

We need 200g of oats, 1.2L of milk and 60 g of sugar

Hence, for 2 portions of Ingredients, the measure of ingredients is calculated as:

For Oats

5 portions = 200g oats

2 portions = x

Cross Multiply

5x = 2 × 200g

x = 2 × 200g/5

x = 80g of oats

For Milk

5 portions = 1.2L milk

2 portions = x

Cross Multiply

5x = 2 × 1.2L

x = 2 × 1.2L/5

x = 0.48 L of milk

For Sugar

5 portions = 60g of sugar

2 portions = x

Cross Multiply

5x = 2 × 60g

x = 2 × 60g/5

x = 24g of sugar

Therefore for 2 portions, our Ingredients include

80g of oats, 0.48L of milk and 24g of sugar

3. What is the simplest way to write
3a + 2b - 3a + b? Briefly show or explain your
reasoning.

Answers

Answer:

3b is the answer

3a+2b-3a+b

3a-3a+2b+b

2b+b

Step-by-step explanation:

The first step I did is switch up the equation so that the like terms are next to each other. So the a’s are next to each other and the b’s are next to each other. Then I subtracted 3a-3a and got 0 and in the last step I added the 2b + b and got 3b.

9a^2- 4b^2

First, Apply the distributive property 3a(3a)+3a(−2b)+2b(3a)+2b(−2b)

Second Simplify the term. 3a(3a)+2b(−2b)

Third, Simplify Each term.

3⋅3a2+2b(−2b)

9a2+2b(−2b)

9a2+2⋅−2b2

= 9a2−4b2

How do I solve this finding the first four of the sequence?

Answers

Answer:

- 7, - 3, 1, 5

Step-by-step explanation:

Using the recursive rule and a₁ = - 7, then

a₂ = a₁ + 4 = - 7 + 4 = - 3

a₃ = a₂ + 4 = - 3 + 4 = 1

a₄ = a₃ + 4 = 1 + 4 = 5

The first four terms are - 7, - 3, 1, 5

During the winter registration 72 athletes signed up to play basketball. If they have 6 even teams, how many players are on each team

Answers

Answer:

They have 12 players on each team because 72 divided by 6 equals 12.

IM GIVING BRAINLIEST!!PLEASE HELP!!I PROMISE!!

Answers

Answer:

i think it's b sorry if it's wrong

Step-by-step explanation:

help pls I will thank ​

Answers

Answer:

y=4 cos (x)

Step-by-step explanation:

y=4 cos (x)

Use the box plot. It shows the number of days on the market for single family homes in a city. What are the third and first quartiles of the data? a. 40, 30 b. 140, 80 c. 140, 0 d. 80, 30

Answers

Step-by-step explanation:

Box plots (also called box-and-whisker plots or box-whisker plots) give a good graphical image of the concentration of the data. They also show how far the extreme values are from most of the data. A box plot is constructed from five values: the minimum value, the first quartile, the median, the third quartile, and the maximum value. We use these values to compare how close other data values are to them.

To construct a box plot, use a horizontal or vertical number line and a rectangular box. The smallest and largest data values label the endpoints of the axis. The first quartile marks one end of the box and the third quartile marks the other end of the box. Approximately the middle 50 percent of the data fall inside the box. The “whiskers” extend from the ends of the box to the smallest and largest data values. The median or second quartile can be between the first and third quartiles, or it can be one, or the other, or both. The box plot gives a good, quick picture of the data.

There are 4 boys and 16 girls planning the next school dance. What is the ratio of boys to girls planning the school dance?

Answers

Answer:

1 : 4

Step-by-step explanation:

If you simplify the amount of boys over girls, you get 1/4.

I think this is right
1 boy to 4 girls

Sketch a graph of the following polynomial functions. Show all work!!
g(x) = 2x3 + 14x2 − 2x − 14

Answers

Answer:

which one?

Find the Roots (Zeros)

Factor

Use the Rational Roots Test to Find All Possible Roots

Identify the Zeros and Their Multiplicities

Graph

Find the Roots/Zeros Using the Rational Roots Test

Find the x and y Intercepts

Step-by-step explanation:

Answer:

here u go

Step-by-step explanation:

gx=2x3+14x2−2x−14

Step 1: Divide both sides by x.

gxx=2x3+14x2−2x−14xg=2x3+14x2−2x−14x

Answer:

g=2x3+14x2−2x−14x

Which correctly lists three forms of frozen water?
dew, frost, rain
frost, hail, sleet
hail, rain, sleet
rain, dew, frost

Answers

Answer:

B, because all the other answers have rain in them and rain isn't frozen.

Hope this helped!

P. S. : Can I get brainliest please?

Find the slant height, l 24

Answers

Don’t open that file it’s a scam it takes you’re information

Find the area of the triangle.
12 ft 13 ft
The area of the triangle is
ft2.

Answers

Can you explain this more? You just said “what is the area of the triangle?” Then you said “the area of the triangle is 2ft” right?

Answer:

156 ft

Step-by-step explanation:

area formula is:

length x width

(A= l*w)

12 x 13 = 156

The area of a rectangular piece of paper is 32 square inches. It is 8 inches long. How wide is it?

Answers

Answer:

4 inches

Step-by-step explanation:

8 times 4 is 32

32/4 inches = 8 inches

can you help me please​

Answers

9514 1404 393

Answer:

  26, 37, 40, 48

Step-by-step explanation:

Whole numbers between 20 and 50 will have 10s digits in the range 2–5.

When 4 is added to these numbers, we get ...

  2+4 = 6

  3+4 = 7

  4+4 = 8

  5+4 = 9

When 4 is subtracted from these numbers, we get ...

  2-4 = -2

  3 -4 = -1

  4 -4 = 0

  5 -4 = 1

__

The numbers we can make using the given 10s digits and their corresponding 1s digit(s) are ...

  26, 37, 40, 48

__

We note that any number with a 10s digit of 5 and a 1s digit other than 0 will be out of range.

Lacey has a pet fish in a fish tank. The bottom of the tank has dimensions of 75 cm and 35 cm. She noticed that the water in the tank is 2 cm below the minimum line labeled on the tank. How much water does Lacey need to add to the fish tank to raise the water level up to the minimum line?

Answers

Answer:

Lacey need to add 5250 cubic centimeter of water into the fish tank to raise the water level up to the minimum line

Step-by-step explanation:

The bottom dimension of the tank is 75 cm and 35 cm

Water in the tank is 2 cm lower than the minimum line of the tank.

In order to raise the water in tank above the minimum level, we need to add 75 cm * 35 cm * 2 cm

Hence, the total water to be added is

[tex]75 *35 *2 = 5250[/tex] cubic centimeter

What is a division sign beside ‘/‘?

Answers

Answer:

Division can be represented with ÷ as well.

A landscaping company placed two orders with a nursery. The first order was for 13 bushes and 4 trees, and totaled $327.50. The second order was for 6 bushes and 2 trees, and totaled $142.96. Sam tried to use system of equation to solve the problem.

Answers

Answer:

Step-by-step explanation:

A landscaping company placed two orders with a nursery. Sam tried to use system of equation to solve the problem.

Let us represent

Cost of bushes = x

Cost of trees = y

The first order was for 13 bushes and 4 trees, and totaled $327.50.

Hence

13x + 4y = 327.5......Equation 1

The second order was for 6 bushes and 2 trees, and totaled $142.96.

Combined both Equations

13x + 4y = 327.5......Equation 1

6x + 2y = 142.96 ........ Equation 2

We solve using Elimination method

We Multiply Equation 1 by 2 and Equation 2 by 4 to Eliminate y

26x + 8y = 655 ..... Equation 3

24x + 8y = 571.84 ..... Equation 4

We substract Equation 4 from Equation 3

2x = 83.16

x = 83.16/2

x = $41.58

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